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Find the exact values of sinø , cosø, and tanø if the terminal side of ø in standard position contains the given point.

P(-3,4)
I need sinø, cosø, and tanø please.

Find the exact values of sinø , cosø, and tanø if the terminal side of ø in standard-example-1
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User Hatanooh
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3 votes

Answer:

See below for answers and explanations

Explanation:

Given P(-3,4) we can solve for the third side:

c=√[(-3)²+4²]

c=5

If the terminal side of ø in standard position contains the given point, then it is located at that point, making -3 the opposite side (the side length is 3), 4 the adjacent side, and 5 the hypotenuse.

Therefore:

cos∅=adjacent/hypotenuse=4/5

sin∅=opposite/hypotenuse=3/5

tan∅=opposite/adjacent=3/4

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